[1 2 3° 1 Verify that det 4 5 6 = 0 by using expansions by [7 8 9. row 2 and row 3 cofactors.

Q: Q1/ A: Find: 1 L-1 [55+4 2S-18 24-30 √5 + $²49 the fin 2- L (t² cos at) bu Finite Differences Mot

A: According to bartleby guidelines when student post more than one questions expert must have to…

Q: Show that the equation 2²2 2 2²y Əy +2k c². əx² de ² Ət possesses solutions of the form 0 - kt Σ Cre…

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Q: 1.2 Find dy ond 19 of the parame tric equation 3=スピ, xこを

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Q: 1. Use the Euler, improved Euler and Runge-kutta methods to solve the follo wing ODES: dy 9. 3 = x…

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Q: 1. 3. Determine [[e=²*² +25-+²] kt [[e+cos (√2+)] [[ext_H(t-a)]

A: Given : 1. Le-kt+2π-t42. Le-tcos2t3. Le-2tHt-a

Q: 8. If fx) = cos (2x), findf '(). TC %3D a. b. c. 1 d. -1

A: The given function is f(x) = cos2(2x) Differentiate with respect to x using chain rule…

Q: [0,2m] find ao for f(x)=cos 2° 其bO 2n.c0 0 d O x/2

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Q: What is the solution of the D.E y" -3y' = e* sinx when solved using the %3D method of undetermined…

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Q: 6/155) cos 0, 1+ cos 29

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Q: a. Prove that the O.D.E: (2y+2x-5)dx+(6y+2x-1)dy=0 is exact and solve it.

A: First we will check if this equation is exact.

Q: Solve the ODE by the Euler method: given 2y" = -4y' - 1.5y y(0) = 3 and y'(0) = −2.5 with step h =…

A: To find- Solve the ODE by the Euler method: 2y'' = -4y' - 1.5y       giveny0 = 3 and y'0 = -2.5with…

Q: Use Superposition approach to find the genral solution of the following equation: y" – 2y' + 3y = -6…

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Q: Q.1- For this signal, Find the complex exponential Fourier series. X(t) = 5 cos 30Tt - 8 sin? 20Tt…

A: Consider the given equation:

Q: 5. DETAILS SCALCET9M 14.5.015. az az and as at Use the chain rule to find sin(8) Z = r = st, 0 = s3…

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Q: 4.1 z + cos(72) -dz, c z(z² +1) with C : |z – i| =.

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Q: 3. Given that 7 sin(5t)â + cos(5t)ŷ represents the position of a particle at time t, find î. and…

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Q: 7. Use Figure 6 to choose an initial guess xo to the unique real root of x Newton iterates. + 2x + 5…

A: Let us choose x0= -1.5 (since between -1 and -2) Let, f(x)=x^3+2x+5 Then we find f'(x)

Q: 1. Use the Euler, improved Euler and Runge-kulta methods to Solve the folllowing ODE s: 4 2 y =0 y…

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Q: Match the graph to the equation. I T 37 47 5n 67 7n 8n 9n 10n11n 12n -1 -2 -3 -4 -5 O y = 4 cos - 1…

A: At  θ = 7π y = 4 cos (θ/4) - 1  y = 4 cos (7π/4) - 1 y = 1.82 which satisfy the graph value of y

Q: Make the substitution v = ln x of Problem 51 to solutions (for x > 0) of the Euler equations in Prol…

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Q: 18 In(z – 3) Question 10) Find I = -dz, where C = Iz - 2 + 4i| = 4, Ccw z2 + (4 + 4i)z + 3+ 4i

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Q: Problem 3. Prove that the sequence (c)" 2021 COS 2 4 2+ n3 Xn diverges.

A: Given xn=(cos(nπ2))2021(2+4n3)

Q: 11.1.5 Show that (a) cosx = Jo(x) +2(-1)" J2n (x), n=1 (b) sinx =2)(-1)" J2n+1(x). n=0

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Q: 1.14 To determine L sinh(3t)cos (t) , f(t) = sinh(3t)cos? (t) must be rewritten as %3D - e sinh( 3t)…

A: Laplace Transform Definition: Given a function ft defined for all real t≥0, the Laplace transform of…

Q: Question 6 Determine the form of a particular solution (u,) of the given DE u" + 6u' + 34u = e -3t…

A: To find The form of a particular solution of the given differential equation

Q: 4) USE THE 2 0 2 0 A 1 0 || GAUSS-JORDAN -3 0 -1 2 - 4 1 1 1 -3 -4 REDUCTION METHOD (SINE PROCEDURE)…

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Q: Solve the problem -64u u(0, t)-u(1, t)-0 IC u(a, 0)- 5 sin(2xz), PDE 00 BC 4,(z, 0) - 3 sin(3rz)…

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Q: Q1/ A: Find: 1 L-1 55+4 2S-18 5²49 24-30 √S + 54 2- L (t² cos at)

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Q: 41. cos(7t/2) dt 0,

A: Explanation of the answer is as follows

Q: 3.1 A particle has a velocity of =cos ( 21)i +sin( 21)j. 3.1.1 Show that the objects' moves with a…

A: Given the velocity of the particle

Q: Example 1: Find length of the cardioid r = a(1 – cos 0) %3D | from 0 = 0,0 = 2n

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Q: Q3) Express cos(x²) as a power series. а) 1. 2! + 6! 4! x10 + 3! x14 +. 7! b) 1– 5! c) 1– x5 x7 + 7!…

A: To express the function cos(x2) as a power series. Here, note that the power series of the function…

Q: I don't understand how they got 10 square root of 6?

A: Given,

Q: Question 3 Consider the IVP: y" + 9y = 40e* ; y(0) = 5, y'(0) = -2. Find the general solution. A)…

A: Laplace transferom, solution of the ordinary differential equations

Q: 1 sketch The graphs O v= 1 between B=o-360 Ov =1+ Sin8 %3D 2 v 2(1- Cose) 3. 5r=I+ Cose

A: We are only allow to solve first three subpart of questions if you need rest of answere then please…

Q: 2. Obtain the general solution of the ODE (2a² – r²) dr = r³ sin 0 d0.

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Q: 2. Find a closet rank-1 approximation in the f norm to A = cos 8 - sin e sin e cos 0

A: According to the given information it is required to find closet rank-1 approximation in the l2 norm…

Q: 1-Find the Cauchy principle value (showing details): J_co (7*+5x²+4)' cos(4x) dx 8.

A:

Q: 1. Solve the hyperbolic function of the following. i. cosh (-2 + j3) in the form of a + jb ii. sinh…

A: some formula  coshx+jy=coshxcosy+jsinhxsinysinhx+jy=sinhxcosy+jcoshxsiny i.…

Q: 7.32. Prove that for 0 sxSr, - ( (* .) cos 2r 12 (a) x(w-) cos 4x 22 cos 6z 32 6. (b) æ(r - 2) = 8 /…

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Q: 2x Cos 23 find diy %3D

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Q: 1. Use the Euler, improved Euler and Runge-kulta methods to Solve the folllowing ODE s: 42 y =0 C. y…

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Q: 1 In AABC, AB = xcm, BC=(4- x)cm, ZBAC=y and ZBCA = 30°. Given that siny show that =D4(v2-1) (5…

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Q: A T 3n 4n Sn 6 7n 8A 9n 10n11n 12n Match the graph to the equation. 4 cos -1 O y = 3 sin - n) - 1…

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Q: Solve the Following di Feerenti al equations a) 2ydy = (u?+1) de b) dy n2 y2 = n 2 %3D 6)(H2+1い) =…

A: We need to solve the given differential equations:a) 2ydy=x2+1dxb)dydx-x2y2=x2c)4x2+16dydx=cosycoty,…

Q: Given that 7(1 + h) – 7(1) = (h - 1 + cos(h), e" -e-", In(2h + 1)) for all h where -. a 7'(1 :…

A: We will use the definition of derivative to find r'(1) as shown below

Q: Find the solution of the following Cauchy problem and sketch its graph att = 0,0.5, 1, 1.5, 2 & 2.5:…

A: Consider the given utt=uxx,              -∞<x<∞, t>0u(x,0)=ϕ(x)=2cosπx4 ,|x|≤20…